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Finding the Fourth Proportional to 22,657.44, 33,936.86 and 10,946

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Solution

The fourth proportional to 22,657.44, 33,936.86 and 10,946 is: 16,395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.44 : 33,936.86 = 10,946 : x
  2. Step 2: Convert to fraction form
    22,657.44/33,936.86 = 10,946/x
  3. Step 3: Cross multiply
    22,657.44x = 33,936.86 × 10,946
  4. Step 4: Simplify right side
    22,657.44x = 371,472,869.56
  5. Step 5: Solve for x
    x = 371,472,869.56/22,657.44
  6. Step 6: Final answer
    x = 16,395.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.